APPLICATIONS OF ZORN'S LEMMA TO PRIMALS AND GRILLS

  • SHYAMAPADA MODAK
    University of Gour Banga, Department of Mathematics , P.O. Mokdumpure, Malda 732 103, INDIA
    spmodak2000@yahoo.co.in
  • MONOJ KUMAR DAS
    University of Gour Banga, Department of Mathematics, P.O. Mokdumpure, Malda 732 103, INDIA
    dmonojkr1@gmail.com
  • CHHAPIKUL MIAH
    Sukanta Mahavidyalaya Department of Mathematics, Dhupguri 735210, West Bengal, INDIA
    chhapikul.77@gmail.com

Abstract

We investigate various connections between the notions of filter, ideal, grill and primal in topological spaces, then we characterize Hausdorff spaces, compact spaces and continuity of functions via limit points and cluster points of grills and primals. As a conclusion on our study on maximal primals, we provide a new proof of Tychonoff theorem.

Cuvinte cheie

Zorn's lemma primal ultraprimal grill ultragrill